A platform for research: civil engineering, architecture and urbanism
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Objektorientierte Numerik für Finite Elemente
Finally, the application of the object-oriented matrix calculus is presented in two sections about quadrilateral and triangular plate elements on the basis of typical C++ routines. The numeric functions PARALLELOGRAM and TRIANGLE exemplify in the source code, the calculations of differential geometries, the matrices of the stiffness relationships, and of the internal forces for both finite elements, as well as the computation of the corresponding numerical results. These elements are a bi-linear parallelogram element and a linear triangular element, each with abstracted elasticity parameters, so that the calculated results for deformations and stresses under tension and shear can be verified in the elementary way. The program code, which is kept simple and clear, is primarily intended to demonstrate here how the required matrix objects of the new matrix classes can be created and managed, and how the tensor/matrix arithmetic can be handled intuitively and clearly with the overloaded syntax for matrix operations.
Objektorientierte Numerik für Finite Elemente
Finally, the application of the object-oriented matrix calculus is presented in two sections about quadrilateral and triangular plate elements on the basis of typical C++ routines. The numeric functions PARALLELOGRAM and TRIANGLE exemplify in the source code, the calculations of differential geometries, the matrices of the stiffness relationships, and of the internal forces for both finite elements, as well as the computation of the corresponding numerical results. These elements are a bi-linear parallelogram element and a linear triangular element, each with abstracted elasticity parameters, so that the calculated results for deformations and stresses under tension and shear can be verified in the elementary way. The program code, which is kept simple and clear, is primarily intended to demonstrate here how the required matrix objects of the new matrix classes can be created and managed, and how the tensor/matrix arithmetic can be handled intuitively and clearly with the overloaded syntax for matrix operations.
Objektorientierte Numerik für Finite Elemente
Meißner, Udo F. (author)
2024-05-30
47 pages
Article/Chapter (Book)
Electronic Resource
German
Objektorientierte Numerik für Finite Elemente
| Springer Verlag | 2022
Theorie und Numerik dimensions- und modelladaptiver Finite-Elemente-Methoden von Flächentragwerken
| UB Braunschweig | 1996